Diane Hoffoss
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Research Interests
Diane Hoffoss has a total of 1 co-authors. Here are the top co-authors by number of shared publications:
- Joseph Maher
CUNY College of Staten Island and CUNY Graduate Center, Staten Island, USA
3 shared publications
Latest Publications
- 1 January 2022
- Published by International Press of Boston in Communications in Analysis and Geometry
- Vol. 30 (4) , 843-868
Morse functions to graphs and topological complexity for hyperbolic $3$-manifolds
International Press of Boston - publishers of scholarly mathematical and scientific journals and books
- 1 January 2022
- Published by International Press of Boston in Communications in Analysis and Geometry
- Vol. 30 (4) , 843-868
Morse functions to graphs and topological complexity for hyperbolic $3$-manifolds
International Press of Boston - publishers of scholarly mathematical and scientific journals and books
- Open Access
Morse functions to graphs and topological complexity for hyperbolic 3-manifolds
Scharlemann and Thompson define the width of a 3-manifold M as a notion of complexity based on the topology of M. Their original definition had the property that the adjacency relation on handles gave a linear order on handles, but here we consider a more general definition due to Saito, Scharlemann and Schultens, in which the adjacency relation on handles may give an arbitrary graph. We show that for compact hyperbolic 3-manifolds, this is linearly related to a notion of metric complexity, based on the areas of level sets of Morse functions to graphs, which we call Gromov area.
Open AccessMorse functions to graphs and topological complexity for hyperbolic 3-manifolds
Scharlemann and Thompson define the width of a 3-manifold M as a notion of complexity based on the topology of M. Their original definition had the property that the adjacency relation on handles gave a linear order on handles, but here we consider a more general definition due to Saito, Scharlemann and Schultens, in which the adjacency relation on handles may give an arbitrary graph. We show that for compact hyperbolic 3-manifolds, this is linearly related to a notion of metric complexity, based on the areas of level sets of Morse functions to graphs, which we call Gromov area.
- Open Access
Morse area and Scharlemann-Thompson width for hyperbolic 3-manifolds
Scharlemann and Thompson define a numerical complexity for a 3-manifold using handle decompositions of the manifold. We show that for compact hyperbolic 3-manifolds this is linearly related to a definition of metric complexity in terms of the areas of level sets of Morse functions.
Open AccessMorse area and Scharlemann-Thompson width for hyperbolic 3-manifolds
Scharlemann and Thompson define a numerical complexity for a 3-manifold using handle decompositions of the manifold. We show that for compact hyperbolic 3-manifolds this is linearly related to a definition of metric complexity in terms of the areas of level sets of Morse functions.